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Simplifying 3(p + 7) + -5 = 11p + -44 Reorder the terms: 3(7 + p) + -5 = 11p + -44 (7 * 3 + p * 3) + -5 = 11p + -44 (21 + 3p) + -5 = 11p + -44 Reorder the terms: 21 + -5 + 3p = 11p + -44 Combine like terms: 21 + -5 = 16 16 + 3p = 11p + -44 Reorder the terms: 16 + 3p = -44 + 11p Solving 16 + 3p = -44 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. 16 + 3p + -11p = -44 + 11p + -11p Combine like terms: 3p + -11p = -8p 16 + -8p = -44 + 11p + -11p Combine like terms: 11p + -11p = 0 16 + -8p = -44 + 0 16 + -8p = -44 Add '-16' to each side of the equation. 16 + -16 + -8p = -44 + -16 Combine like terms: 16 + -16 = 0 0 + -8p = -44 + -16 -8p = -44 + -16 Combine like terms: -44 + -16 = -60 -8p = -60 Divide each side by '-8'. p = 7.5 Simplifying p = 7.5
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